Fuzzy-PID Control and its Stability Analysis of Large Time-Delay Nonlinear Systems

Abstract

Aiming at a kind of state unpredictability of the fuzzy input large time-delay systems, the author designs a fuzzy observer with the application of Parallel Distributed Compensation (PDC), puts forward the PID control method based on the fuzzy observer, and provides a new sufficient condition which guarantees the asymptotic stability of fuzzy large time-delay system. With the employment of generalized Lyapunov function and linear matrix inequality, this paper proves the asymptotic stability of fuzzy input large time-delay systems and offers the separation design algorithm to control and observe gain matrix. The simulation results of the experiment further verify the effectiveness of the methods and conditions raised in this paper.